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What does it feel like to invent math?

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从不断截断的和接近 1 的直觉出发,讲者追问「接近」要满足什么。定义要求任给误差后,后面的部分和都留在误差内,而不只是曾经靠得很近。

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Retrospectively, this might seem like the clear way to solidify what you mean by approach, but as a first-time endeavor, it's actually incredibly clever.

no matter how small the distance you choose, at some point down the list, all the numbers start falling within that distance of x.

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